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Lorico [155]
3 years ago
13

Which expression is equivalent to 6^-3? 6^3 3^6 3sqrt6 (1/6)^3

Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0

For this case we must find an expression equivalent to6 ^ {- 3}

By definition of power properties we have to:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

So, we can rewrite the given expression as:

6 ^ {3} = \frac {1} {6 ^ 3}

This is equivalent to:

(\frac {1} {6}) ^ 3

Answer:

Option D

Nadya [2.5K]3 years ago
3 0

<u>Answer:</u>

The correct answer option is D. ( 1 / 6 ) ^ 3.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to determine whether which of the given answer options is equivalent to this:

6 ^ { - 3 }

Rewriting this as a fraction to get:

\frac { 1 } { 6 ^ 3 }

Therefore, the correct answer option is D. ( 1 / 6 ) ^ 3.

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3 years ago
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Answer:

  • slope: -5/3
  • y-intercept: 2
  • x-intercept: 6/5 = 1.2

Step-by-step explanation:

Finding the slope is perhaps easiest done by solving for y.

  5x -6 = -3y . . . . subtract 3

  y = -5/3x +2 . . . divide by -3

This is slope-intercept form, so we can see both the slope (the coefficient of x, -5/3) and the y-intercept (the constant, +2).

__

To find the x-intercept, we set y=0 and solve for x. This might be most easily done using the original equation:

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  x = 6/5 = 1.2 . . . . divide by the coefficient of x. This is the x-intercept.

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Slope = -5/3

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3 years ago
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Tatiana [17]

Answer:

Answer is A.) 3

Step-by-step explanation:

You substitute 8 for n and complete the rest of the operation

8-5=3

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